3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.CO2008★ 1 cited
Generalizations of the Goulden-Jackson Cluster Method
Elizabeth J. Kupin, Debbie S. Yuster
We give several modifications of the Goulden-Jackson Cluster method for finding generating functions for words avoiding a given set of forbidden words. Our modifications include fu…
math.CO2008★ 3 cited
Bounds on the frequency of 1 in the Kolakoski word
Elizabeth J. Kupin, Eric S. Rowland
We use a method of Goulden and Jackson to bound freq_1(K), the limiting frequency of 1 in the Kolakoski word K. We prove that |freq_1(K) - 1/2| <= 17/762, assuming the limit exists…